457406976 has 80 divisors (see below), whose sum is σ = 1312353504. Its totient is φ = 140734464.

The previous prime is 457406959. The next prime is 457406993. The reversal of 457406976 is 679604754.

It is an interprime number because it is at equal distance from previous prime (457406959) and next prime (457406993).

It is a super-2 number, since 2×457406976² = 418442283386929152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8515 + ... + 31421.

Almost surely, 2^457406976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457406976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656176752).

457406976 is an abundant number, since it is smaller than the sum of its proper divisors (854946528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

457406976 is a wasteful number, since it uses less digits than its factorization.

457406976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22941 (or 22925 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The square root of 457406976 is about 21387.0749753210. The cubic root of 457406976 is about 770.4910433946.

The spelling of 457406976 in words is "four hundred fifty-seven million, four hundred six thousand, nine hundred seventy-six".